The Love wave represents the seismic surface wave whose movement is perpendicular to the direction the wave travels. Love waves were studied and their behaviour was modelled by the British mathematician A.E.H. Love, in 1911.
The Rayleigh wave represents the seismic surface wave whose rolling movement have the same direction to the one the wave travels. Rayleigh wave, is much larger than Love wave and all other waves, causing the shaking action felt during earthquake. Rayleigh waves were anticipated by the British mathematician Lord Rayleigh, in 1885.
Both Love and Rayleigh waves, are surface waves, having lower frequencies than body waves and reduced strength in deeper earthquakes.